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Finding the Fourth Proportional to 115,075, 172,614.66 and 31,971.16

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Solution

The fourth proportional to 115,075, 172,614.66 and 31,971.16 is: 47,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,075 : 172,614.66 = 31,971.16 : x
  2. Step 2: Convert to fraction form
    115,075/172,614.66 = 31,971.16/x
  3. Step 3: Cross multiply
    115,075x = 172,614.66 × 31,971.16
  4. Step 4: Simplify right side
    115,075x = 5,518,690,913.21
  5. Step 5: Solve for x
    x = 5,518,690,913.21/115,075
  6. Step 6: Final answer
    x = 47,957.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.